In a coffee-cup calorimeter, 1.60 \(\mathrm{g} \mathrm{NH}_{4} \mathrm{NO}_{3}\)
was mixed with 75.0 \(\mathrm{g}\) water at an initial temperature
\(25.00^{\circ} \mathrm{C}\) . After dissolution of the salt, the final
temperature of the calorimeter contents was \(23.34^{\circ} \mathrm{C}\) .
a. Assuming the solution has a heat capacity of 4.18 \(\mathrm{J} / \mathrm{g}\)
\(^{\circ} \mathrm{C},\) and assuming no heat loss to the calorimeter, calculate
the enthalpy of solution \(\left(\Delta H_{\mathrm{soln}}\right)\) for the
dissolution of \(\mathrm{NH}_{4} \mathrm{NO}_{3}\) in units of $\mathrm{kJ} /
\mathrm{mol} .$
b. If the enthalpy of hydration for \(\mathrm{NH}_{4} \mathrm{NO}_{3}\) is $-630
. \mathrm{kJ} / \mathrm{mol}\( calculate the lattice energy of \)\mathrm{NH}_{4}
\mathrm{NO}_{3} .$